Slope Intercept form

Slope Intercept form

If we are going to find the point of intersection by graphing, we will need to be able to put equations into slope intercept form.

The slope is the number in red, if the equation is solved for y.

y = 5x - 2

y = -1/3x + 14

y = -6/7x

y = 7 + 2/5x

Multiple Choice

What is the slope for the following equation?     $y=-6x+2$  

• 6

• -6

• 2

• -2

Multiple Choice

What is the slope for the following equation?

 $y=\frac{1}{5}x+13$  

•  $5$  

•  $13$  

•  $\frac{1}{5}$  

•  $-5$  

Multiple Choice

What is the slope for the following equation?

 $y=x+0$   

• -1

• 0

• 1

• Undefined

Multiple Choice

What is the slope for the following equation?

 $y\ =\ 7\ +\ 8x$  

• 7
  

• -7

• -8

• 8

Multiple Choice

What is the slope for the following equation?

 $y=-9$  

• 0

• -1

• 1

• -9

Some problems are not solved for y and there for NOT in slope intercept form.

For the next few problems, solve each problem for y on a piece of paper FIRST before determinng the slope.

Multiple Choice

What is the slope for the following equation?

 $5y=-10x+30$  

• 2

• -2

• -10

• 6

Multiple Choice

What is the slope for the following equation?

 $10x+7y=14$  

•  $14$  
  

•  $-10$  
  

•  $\frac{10}{7}$  
  

•  $-\frac{10}{7}$  
  

Multiple Choice

What is the slope for the following equation?

 $8y-2x=8$  

•  $\frac{1}{4}$  
  

•  $4$  
  

•  $-2$  
  

•  $1$  
  

Multiple Choice

What is the slope for the following equation?

 $6x+3y=-30$  

•  $6$  
  

•  $-6$  
  

•  $-2$  
  

•  $-10$  

The y-intercept is the number in blue, if the equation is solved for y.

y = 3x - 2

y = -10/7x - 5

y = 6 - 1/4x

y = -8x + 0

Multiple Choice

What is the y intercept for the following problem?

 $y=-\frac{9}{4}x+8$  

•  $-\frac{9}{4}$  

•  $9$  

•  $4$  

•  $8$  
  

Multiple Choice

What is the y intercept for the following problem?

 $y=\ 2x-1$  

• 2

• -1

• -2

• 1

Multiple Choice

What is the y intercept for the following problem?

 $y=7$   

• 7

• 0

• 1

• Undefined

Multiple Choice

What is the y intercept for the following problem?

 $y=-4\ +\frac{14}{9}x$  

• 4

• 14

• 14/9

• -4

Some problems are not solved for y and there for NOT in slope intercept form.

For the next few problems, solve each problem for y on a piece of paper FIRST before determinng the slope.

These are the same problems as slides 9-12 but they wont have the same answers

Multiple Choice

What is the slope for the following equation?

 $6x+3y=-30$  

•  $6$  
  

•  $-6$  
  

•  $-2$  
  

•  $-10$  

Multiple Choice

What is the slope for the following equation?

 $5y=-10x+30$  

• 2

• -2

• -10

• 6

Multiple Choice

What is the slope for the following equation?

 $8y-2x=8$  

•  $\frac{1}{4}$  
  

•  $4$  
  

•  $-2$  
  

•  $1$  
  

Multiple Choice

What is the slope for the following equation?

 $10x+7y=14$  

•  $14$  
  

•  $2$  
  

•  $\frac{10}{7}$  
  

•  $-\frac{10}{7}$  
  

This is all tied to figuring out the answer to a systems of equation problem.

Look at the following graphs and choose the appropriate solution for each problem.

Multiple Choice

Based on the 2 equations shown, how many answers are there to the following problem?

• One

• Two

• Infinitely Many

• No Solution

Multiple Choice

Based on the 2 equations shown, how many answers are there to the following problem?

• One

• Two

• Infinitely Many

• No Solution

Multiple Choice

Based on the 2 equations shown, how many answers are there to the following problem?

• One

• Two

• Infinitely Many

• No Solution